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Expectation Value of a component of Orbital Angular Momentum

  1. Dec 13, 2011 #1
    1. The problem statement, all variables and given/known data

    given a certain state |ψ> that is an eigenstate of L^2 and Lz
    Calculate <Lx^2> and <Lx>

    2. Relevant equations

    L^2|ψ> = l(l+1)h^2
    Lz|ψ> = mh|ψ>
    Lx = YPz - ZPy
    3. The attempt at a solution

    <Lx^2> = (1/2)(h^2)[l(l+1)-(m1)^2]

    for Lx i got
    <Lx> = ∫ψ(YPz-ZPy)ψ dx
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 13, 2011 #2

    vela

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    Try writing Lx in terms of the raising and lowering operators.
     
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